MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

A Note on Hierarchy of Quantum Measurement Incompatibilities

Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost and Shao-Ming Fei


The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators we present a complete classification of the incompatibility of a given measurement assemblage with $n$ members. Detailed examples are given to the incompatibility for unbiased qubit measurements based on semidefinite programm.


Related publications

2020 Journal Open Access
Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost and Shao-Ming Fei

A note on the hierarchy of quantum measurement incompatibilities

In: Entropy, 22 (2020) 2, p. 161